Slip-Size Distribution and Self-Organized Criticality in Block-Spring Models with Quenched Randomness

摘要

We study slowly pulling block-spring models in random media. Second-orderphase transitions exist in a model pulled by a constant force in the case ofvelocity-strengthening friction. If external forces are slowly increased,nearly critical states are self-organized. Slips of various sizes occur, andthe probability distributions of slip size roughly obey power laws. Theexponent is close to that in the quenched Edwards--Wilkinson model.Furthermore, the slip-size distributions are investigated in cases of Coulombfriction, velocity-weakening friction.